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DIRECTIONS FOR USE OF TABLES <br />TABLE No. 1. <br />Distance of slope stake from side or shoulder <br />stake for any width roadway, slope 13/2 to 1. <br />If ground is nearly level, the cut or fill at side <br />stake is located by the double entry method in <br />left column and top row. The number in body <br />of table in same row and column gives distance <br />from side stake to slope stake. , If ground is not <br />level'estimate the difference in elevation between <br />the side stake and slope stake, lower target.by this <br />amount if cut, elevate if fill. Add this amount <br />to cut or fill and find distance in table. Set up <br />rod at . thispoint, and line of sight should cut <br />target. If it does not make the slight adjustment. - <br />necessary. <br />TABLE No. 4. <br />To find Tangent and External for curve of <br />any other degree, divide by degree of curve and <br />add correction found in column of - corrections. <br />-Degree of curve with a given 1 may be found <br />by dividing tangent, (or external; opposite I by <br />given tangent; (or external). <br />The distance from a point on the tangent to <br />..the curve is very nearly the square of the tangent <br />tenth divided by twice the radius. <br />TABLc.II. _ <br />TRIGONOMETRIC FORiar[rr.M <br />L A.= L MOP L B= 1 PON — L OPL <br />R=OB=c=1 <br />sin A= o = 1 — cosB=LP <br />b b <br />cos A b = sin B —.OL <br />= — _ <br />MQ <br />c 1. — - <br />tan A = b –61—A � N1Q. = MQ = cot B MQ <br />cotA= ON = NT =NT= tan g=NT <br />OQ OQ <br />sec A = <br />ox — 1 <br />OT OT — OT = see B = OT <br />ose A = ON <br />vers A = M = LM = covers B # <br />OP <br />OP _ LP = OP — LP = vers B <br />covers A = OF <br />exsee A = PQ = coexsee B <br />cueasec A = Pr — exsee B <br />1 — Cos A 1 +Cos A <br />sin Yq A= �.-8 A= I 2 <br />2 �1 <br />sin -2A = 2 sin A cas A ws 2 A =cos' A sin' A <br />sin A sin B • sin .C' <br />Law of Lines a = g = -C <br />Law of Cosines c'.= a'+b' — 2 A cos C <br />Law.of Tangents a+b tan Y2 (A+ D) <br />a—b = tan ,/ (A — B) <br />0 <br />